Matip has been sidelined since the end of January with an ankle ligament problem sustained in the 3-1 win over Tottenham, with the centre-back due to miss the rest of the season.
Updates on Van Dijk and Gomez have been more frequent – largely due to Matip’s avoidance of social media – but the No. 32 was pictured running outside at Kirkby on Wednesday.
There were no obvious signs of strapping around his ankle, and with less than two months until the start of pre-season it could be that Matip is nearing a return to light training.
It would be a big boost to both player and club, with the 29-year-old undoubtedly an important part of Klopp’s squad despite his persistent fitness issues.
With four days until the trip to Man United – which could have a major bearing on Liverpool’s top-four hopes – the Reds have looked to put the disappointment of a 1-1 draw with Newcastle behind them.
The manager called upon fresh faces to fill out his squad, too, with a number of youngsters involved in a lively session.
Kaide Gordon, Billy Koumetio and Owen Beck were all part of training, along with the more regularly involved Ben Woodburn and Leighton Clarkson, while Jakub Ojrzynski and Liam Hughes were in the goalkeeping group.
But there appear to be no new injury problems ahead of a crucial tie, and there is still time for Phillips to prove his fitness – if he does, it is likely he starts alongside Ozan Kabak at Old Trafford.
Liverpool squad pictured in training
Defenders: Kabak, R.Williams, B.Davies, Koumetio, Alexander-Arnold, Robertson, N.Williams, Tsimikas, Beck
Forwards: Salah, Mane, Firmino, Jota, Gordon